{"id":371,"date":"2023-08-01T15:51:20","date_gmt":"2023-08-01T15:51:20","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e4%ba%92%e4%b8%8d%e6%8e%92%e6%96%a5%e7%9a%84%e4%ba%8b%e4%bb%b6\/"},"modified":"2023-08-01T15:51:20","modified_gmt":"2023-08-01T15:51:20","slug":"%e4%ba%92%e4%b8%8d%e6%8e%92%e6%96%a5%e7%9a%84%e4%ba%8b%e4%bb%b6","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e4%ba%92%e4%b8%8d%e6%8e%92%e6%96%a5%e7%9a%84%e4%ba%8b%e4%bb%b6\/","title":{"rendered":"\u4e92\u4e0d\u6392\u65a5\u7684\u4e8b\u4ef6"},"content":{"rendered":"<p>\u5728\u672c\u6587\u4e2d\uff0c\u60a8\u5c06\u4e86\u89e3\u4ec0\u4e48\u662f\u4e92\u65a5\u4e8b\u4ef6\u3001\u4e92\u65a5\u4e8b\u4ef6\u7684\u793a\u4f8b\u4ee5\u53ca\u5982\u4f55\u8ba1\u7b97\u4e24\u4e2a\u4e92\u65a5\u4e8b\u4ef6\u7684\u6982\u7387\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u4e92\u65a5\u4e8b\u4ef6\u4e0e\u4e92\u65a5\u4e8b\u4ef6\u6709\u4f55\u4e0d\u540c\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-los-eventos-mutuamente-no-excluyentes\"><\/span>\u4ec0\u4e48\u662f\u4e92\u65a5\u4e8b\u4ef6\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u76f8\u4e92\u975e\u6392\u4ed6\u4e8b\u4ef6<\/strong>\uff0c\u6216\u8005\u7b80\u79f0<strong>\u4e3a\u975e\u6392\u4ed6\u4e8b\u4ef6<\/strong>\uff0c\u662f\u53ef\u4ee5\u540c\u65f6\u53d1\u751f\u7684\u4e8b\u4ef6\u3002\u7136\u800c\uff0c\u8fd9\u5e76\u4e0d\u610f\u5473\u7740\u4e24\u4e2a\u975e\u6392\u4ed6\u6027\u4e8b\u4ef6\u5fc5\u987b\u540c\u65f6\u53d1\u751f\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u7b2c\u4e00\u6b21\u629b\u786c\u5e01\u65f6\u6b63\u9762\u671d\u4e0a\uff0c\u7b2c\u4e8c\u6b21\u629b\u786c\u5e01\u65f6\u53cd\u9762\u671d\u4e0a\uff0c\u8fd9\u662f\u4e24\u4e2a\u4e92\u65a5\u7684\u4e8b\u4ef6\uff0c\u56e0\u4e3a\u7b2c\u4e00\u6b21\u629b\u786c\u5e01\u7684\u7ed3\u679c\u4e0d\u4f1a\u5f71\u54cd\u7b2c\u4e8c\u6b21\u629b\u786c\u5e01\u7684\u7ed3\u679c\u3002\u56e0\u6b64\uff0c\u53ef\u80fd\u4f1a\u51fa\u73b0\u5148\u51fa\u73b0\u201c\u5c3e\u5df4\u201d\uff0c\u518d\u51fa\u73b0\u201c\u5c3e\u5df4\u201d\u7684\u60c5\u51b5\u3002<\/p>\n<p>\u4e92\u4e0d\u6392\u4ed6\u4e8b\u4ef6\u4e5f\u79f0\u4e3a<strong>\u4e92\u4e0d\u6392\u4ed6\u4e8b\u4ef6<\/strong>\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u7ed9\u5b9a\u4e00\u7ec4\u76f8\u4e92\u4e0d\u6392\u65a5\u7684\u4e8b\u4ef6\uff0c\u8be5\u96c6\u5408\u4e2d\u7684\u4e8b\u4ef6\u53ef\u80fd\u4e0d\u4f1a\u53d1\u751f\uff0c\u4f46\u8be5\u96c6\u5408\u4e2d\u7684\u4e8b\u4ef6\u6709\u53ef\u80fd\u4e00\u8d77\u53d1\u751f\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u6982\u7387\u7684\u7c7b\u578b\/\">\u6982\u7387\u7c7b\u578b<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-eventos-mutuamente-no-excluyentes\"><\/span>\u4e92\u975e\u6392\u4ed6\u4e8b\u4ef6\u7684\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u6211\u4eec\u77e5\u9053\u4e86\u4e92\u65a5\u4e8b\u4ef6\u7684\u5b9a\u4e49\uff0c\u6211\u4eec\u5c06\u770b\u5230\u6b64\u7c7b\u4e8b\u4ef6\u7684\u51e0\u4e2a\u793a\u4f8b\u6765\u5b8c\u6210\u5bf9\u6982\u5ff5\u7684\u7406\u89e3\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u201c\u63b7\u51fa 4\u201d\u4e8b\u4ef6\u548c\u201c\u63b7\u51fa\u5934\u201d\u4e8b\u4ef6\u5e76\u4e0d\u76f8\u4e92\u6392\u65a5\uff0c\u56e0\u4e3a\u4e24\u8005\u90fd\u53ef\u4ee5\u6beb\u65e0\u95ee\u9898\u5730\u53d1\u751f\u3002<\/p>\n<p>\u7c7b\u4f3c\u5730\uff0c\u5f53\u63b7\u9ab0\u5b50\u65f6\uff0c\u4e8b\u4ef6\u201c\u63b7\u51fa\u5947\u6570\u201d\u548c\u201c\u63b7\u51fa\u5927\u4e8e3\u7684\u6570\u5b57\u201d\u4e5f\u662f\u4e0d\u4e92\u65a5\u7684\uff0c\u56e0\u4e3a\u8fd9\u4e24\u4e2a\u4e8b\u4ef6\u90fd\u53ef\u80fd\u53d1\u751f\u3002\u7136\u800c\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4e24\u4e2a\u4e8b\u4ef6\u5fc5\u987b\u540c\u65f6\u53d1\u751f\uff0c\u5e76\u4e14\u6ee1\u8db3\u8fd9\u4e24\u4e2a\u6761\u4ef6\u7684\u552f\u4e00\u7ed3\u679c\u662f\u6570\u5b57 5\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"probabilidad-de-eventos-mutuamente-no-excluyentes\"><\/span>\u4e92\u4e0d\u6392\u65a5\u4e8b\u4ef6\u7684\u6982\u7387<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8ba1\u7b97\u4e24\u4e2a\u4e92\u4e0d\u6392\u65a5\u7684\u4e8b\u4ef6\u7684\u6982\u7387\u65f6\uff0c\u5e94\u4f7f\u7528\u52a0\u6cd5\u89c4\u5219\uff0c\u5373\u8ba1\u7b97\u4e8b\u4ef6A\u6216\u4e8b\u4ef6B\u53d1\u751f\u7684\u6982\u7387\uff0c\u5fc5\u987b\u5c06\u4e8b\u4ef6A\u53d1\u751f\u7684\u53ef\u80fd\u6027\u8d8a\u5927\u7684\u6982\u7387\u76f8\u52a0\u3002\u53d1\u751f\u3002\u4e8b\u4ef6 B \u53d1\u751f\u7684\u6982\u7387\u5e76\u51cf\u53bb\u8fd9\u4e24\u4e2a\u4e8b\u4ef6\u540c\u65f6\u53d1\u751f\u7684\u6982\u7387\u3002<\/p>\n<p>\u56e0\u6b64\uff0c<strong>\u8ba1\u7b97\u4e92\u65a5\u4e8b\u4ef6\u6982\u7387\u7684\u516c\u5f0f<\/strong>\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-be7c6347c0f331eeb6540ac9e15081dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cup B)=P(A)+P(B)-P(A\\cap B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"299\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:7px\">\u91d1\u5b50\uff1a<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:8px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e79827dee6ad7d53b96b5497d617f7c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cup B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u4e8b\u4ef6A\u6216\u4e8b\u4ef6B\u7684\u6982\u7387\u3002<\/li>\n<li style=\"margin-bottom:8px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f0e9e218bb5d81f21881e6c57e37c7a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"40\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u4e8b\u4ef6 A \u53d1\u751f\u7684\u6982\u7387\u3002<\/li>\n<li style=\"margin-bottom:8px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3cf84b3bfcc955798a43fce91458ff42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"41\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u4e8b\u4ef6 B \u53d1\u751f\u7684\u6982\u7387\u3002<\/li>\n<li style=\"margin-bottom:8px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5e28c16735c6423d27941ce417b5fb4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cap B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<p>\u662f\u4e8b\u4ef6A\u548c\u4e8b\u4ef6B\u53d1\u751f\u7684\u8054\u5408\u6982\u7387\u3002<\/li>\n<\/ul>\n<p>\u60a8\u53ef\u4ee5\u5728\u4ee5\u4e0b\u94fe\u63a5\u4e2d\u67e5\u770b\u5982\u4f55\u8ba1\u7b97\u4e24\u4e2a\u4e92\u65a5\u4e8b\u4ef6\u7684\u6982\u7387\u7684\u793a\u4f8b\uff1a <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\">\u4e92\u65a5\u4e8b\u4ef6\u7684\u76f8\u52a0\u89c4\u5219\u793a\u4f8b<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"eventos-mutuamente-no-excluyentes-y-mutuamente-excluyentes\"><\/span>\u4e92\u65a5\u4e8b\u4ef6\u548c\u4e92\u65a5\u4e8b\u4ef6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u987e\u540d\u601d\u4e49\uff0c\u4e92\u65a5\u4e8b\u4ef6\u4e0e\u4e92\u65a5\u4e8b\u4ef6\u76f8\u53cd\u3002\u6211\u4eec\u5c06\u5728\u4e0b\u9762\u8be6\u7ec6\u4ecb\u7ecd\u5176\u4e2d\u7684\u533a\u522b\u3002<\/p>\n<p>\u4e24\u4e2a\u4e92\u65a5\u7684\u4e8b\u4ef6\u4e0d\u80fd\u540c\u65f6\u53d1\u751f\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u5982\u679c\u4e00\u4e2a\u4e8b\u4ef6\u7684\u53d1\u751f\u610f\u5473\u7740\u53e6\u4e00\u4e2a\u4e8b\u4ef6\u4e0d\u80fd\u518d\u53d1\u751f\uff0c\u5219\u4e24\u4e2a\u4e8b\u4ef6\u662f\u4e92\u65a5\u7684\u3002<\/p>\n<p>\u6700\u7ec8\uff0c<strong>\u4e92\u65a5\u4e8b\u4ef6\u548c\u4e92\u65a5\u4e8b\u4ef6\u4e4b\u95f4\u7684\u533a\u522b<\/strong>\u5728\u4e8e\u4e92\u65a5\u4e8b\u4ef6\u4e0d\u80fd\u540c\u65f6\u53d1\u751f\uff0c\u800c\u4e92\u65a5\u4e8b\u4ef6\u53ef\u4ee5\u540c\u65f6\u53d1\u751f\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u4e92\u65a5\u4e8b\u4ef6\/\">\u4e92\u65a5\u4e8b\u4ef6<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"eventos-mutuamente-no-excluyentes-y-eventos-complementarios\"><\/span>\u76f8\u4e92\u975e\u6392\u4ed6\u6027\u4e8b\u4ef6\u548c\u8865\u5145\u6027\u4e8b\u4ef6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e92\u8865\u4e8b\u4ef6\u662f\u968f\u673a\u5b9e\u9a8c\u4e2d\u67d0\u4e2a\u4e8b\u4ef6\u7684\u76f8\u53cd\u7ed3\u679c\u3002\u56e0\u6b64\uff0c\u5982\u679c\u4e00\u4e2a\u4e8b\u4ef6\u4e0e\u53e6\u4e00\u4e2a\u4e8b\u4ef6\u7684\u7ed3\u679c\u76f8\u53cd\uff0c\u5219\u4e24\u4e2a\u4e8b\u4ef6\u662f\u4e92\u8865\u7684\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u5982\u679c\u4e24\u4e2a\u4e8b\u4ef6\u4e0d\u4e92\u65a5\uff0c\u5219\u610f\u5473\u7740\u5b83\u4eec\u4e0d\u662f\u4e92\u8865\u4e8b\u4ef6\u3002\u76f8\u53cd\uff0c\u5982\u679c\u4e24\u4e2a\u4e8b\u4ef6\u662f\u4e92\u8865\u7684\uff0c\u5219\u8fd9\u4e24\u4e2a\u4e8b\u4ef6\u4e0d\u53ef\u80fd\u4e92\u4e0d\u6392\u65a5\u3002<\/p>\n<p>\u7136\u800c\uff0c\u5982\u679c\u4e24\u4e2a\u4e8b\u4ef6\u662f\u4e92\u8865\u7684\uff0c\u5219\u610f\u5473\u7740\u8fd9\u4e9b\u4e8b\u4ef6\u662f\u4e92\u65a5\u7684\u3002\u56e0\u4e3a\u5982\u679c\u4e00\u4e2a\u4e8b\u4ef6\u4e0e\u53e6\u4e00\u4e8b\u4ef6\u76f8\u53cd\uff0c\u90a3\u5c31\u610f\u5473\u7740\u5b83\u4eec\u4e0d\u80fd\u540c\u65f6\u53d1\u751f\u3002 <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span><strong>\u8bf7\u53c2\u9605\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u76f8\u53cd\u4e8b\u4ef6-\u4e92\u8865\u4e8b\u4ef6\/\">\u5176\u4ed6\u6d3b\u52a8<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"eventos-mutuamente-no-excluyentes-y-eventos-dependientes\"><\/span>\u4e92\u65a5\u4e8b\u4ef6\u548c\u76f8\u5173\u4e8b\u4ef6<span 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